100881 has 12 divisors (see below), whose sum is σ = 159120. Its totient is φ = 61080.

The previous prime is 100853. The next prime is 100907. The reversal of 100881 is 188001.

It is a happy number.

It is not a de Polignac number, because 100881 - 2¹⁵ = 68113 is a prime.

It is a super-2 number, since 2×100881² = 20353952322, which contains 22 as substring.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 100881.

It is not an unprimeable number, because it can be changed into a prime (100801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 411 + ... + 608.

It is an arithmetic number, because the mean of its divisors is an integer number (13260).

2¹⁰⁰⁸⁸¹ is an apocalyptic number.

100881 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100881 is a deficient number, since it is larger than the sum of its proper divisors (58239).

100881 is a wasteful number, since it uses less digits than its factorization.

100881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 100881 is about 317.6176947212. The cubic root of 100881 is about 46.5517979848.

Adding to 100881 its reverse (188001), we get a palindrome (288882).

It can be divided in two parts, 1008 and 81, that added together give a square (1089 = 33²).

The spelling of 100881 in words is "one hundred thousand, eight hundred eighty-one".